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Homework Assignment 15

Assigned Tuesday January 25; not to be submitted.

this document in PDF: HW.pdf

Required reading. All of Spivak's chapters 15 and 18.

Recommended for extra practice. From Spivak Chapter 15: 4, 7, 9, 15, 18 and 27.

In class review problem(s) (to be solved in class next Tuesday). Chapter 15 problem 10: Prove that

$\displaystyle \arcsin a+\arcsin b =
\arcsin\left(a\sqrt{1-b^2}+b\sqrt{1-a^2}\right),
$

indicating any restrictions on $ a$ and $ b$.

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Dror Bar-Natan 2005-01-24